2120224400 has 120 divisors (see below), whose sum is σ = 5875784640. Its totient is φ = 720161280.

The previous prime is 2120224373. The next prime is 2120224429. The reversal of 2120224400 is 44220212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301727 + ... + 308673.

It is an arithmetic number, because the mean of its divisors is an integer number (48964872).

Almost surely, 2^2120224400 is an apocalyptic number.

2120224400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937892320).

2120224400 is an abundant number, since it is smaller than the sum of its proper divisors (3755560240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2120224400 is a wasteful number, since it uses less digits than its factorization.

2120224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7081 (or 7070 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2120224400 is about 46045.8944966867. The cubic root of 2120224400 is about 1284.6769817964.

Adding to 2120224400 its reverse (44220212), we get a palindrome (2164444612).

The spelling of 2120224400 in words is "two billion, one hundred twenty million, two hundred twenty-four thousand, four hundred".